Study the equation: y = +(x + 2)(x – 6).
part a. what are the x-intercepts of this equation? show your work.
part b. what is the vertex of this equation? show your work.
part c. using the intercepts and vertex, graph the equation.

For part A the x intercepts are -2 and 6

The x intercepts are whatever in the equation make y equal to zero.

Proof:

(-2)+2(x-6)
0(x-6)=0

Anything times 0 equals zero

Part B. The vertex is (2,-16)

Explanation: this one is a little hard to find but here it goes.

First use foil to multiply the 2 binomials

x^2-4x-12 now you have to factor it in a square.

This is kinda hard to grasp probably but if you subtract 4 from the -12 you get -16 but you cant just do that. I will show you how to do it

x^2-4x-12=y
x^2-4x-16=y-4

Now that we got that add it back to the other side, just separate from the -16

x^2-4x-16=y-4
x^2-4x+4-16=y

Now its still equal to the original equation just we have a perfect square now. So lets factor the perfect square.

(x-2)^2-16=y

Now to find the vertex just take the number in the perfect square (-2) and change its sign.

x=2

And -16 will be our y

x=2
y=-16

Part C you will have to do yourself. You can use a graphing calculator or online graphing software to do it.

Brainliest my answer if it helps you out?